Select the correct answer.
Use the given formula to find the sum of a series.
0,(1 - )
Sn =
Stella is setting aside increasing amounts of money each month to save for a new laptop. In the first month, Stella sets aside $5. In the
second month, she sets aside $10, and in the third month, she sets aside $20.
If the pattern above continues, what is the total amount of money Stella will have saved after 6 months?
o
$256
$315
$155
$160

sec ф = 5/3 (quadrant 4)

let x = base

y = perp

z = hypotenuse

sec ф = hypotenuse/base = 5/3

⇒ z = 5 and x = 3

finding y:

z² = x² + y²

5² = 3² + y²

y² = 25-9

y² = 16

y = 4

now finding all other geometric functions of theta:

sin ф = y/z = 4/5

sin ф = -4/5 (sin is negative in the 4th quadrant)

cos ф = x/z = 3/5

cos ф = 3/5 (cos is positive in 4th quadrant)

tan ф = y/x = 4/3

tan ф = -4/3 (tan is negative in 4th quadrant)

cosec ф = z/y = 5/4

cosec ф = -5/4 (cosec is negative in the 4th quadrant)

cot ф = x/y = 3/4

tan ф = -3/4 (tan is negative in 4th quadrant)

a

b

d

step-by-step explanation: